Motion in a Str...

A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speedfor time t and then decelerates at the rate f /2to come torest. If the total distance traversed is 15 S, then

The displacement x of a particle varies with time t,x = ae^–αt + be^βt, where a, b, α and β are positive constants. The velocity of the particle will

A car moving with a velocity of 10 m/s can be stopped by the application of constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can bestopped by this force in

The displacement of a particle is given by y = a + bt + ct²– dt⁴. The initial velocity and acceleration are respectively.

A car moving with a speed of 40 km/hr. can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/hr., what is the minimum stopping distance

An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms^–2, 2 sec after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is

A particle moves along a straight line such that its displacement at any time t is given by
S = t³– 6t² + 3t + 4 metres
The velocity when the acceleration is zero is

The position x of a particle with respect to time t along x–axis is given by x = 9t²–t³, where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +xdirection

If a body starts from rest and travels 120 cm in the 6thsecond, then what is the acceleration

If a car at rest accelerates uniformly to a speed of 144 km/hr. in 20 s. Then it covers a distance of